Numerical Methods for Laplace Transform Inversion

• Κύριος συγγραφέας: Cohen, Alan M. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2007.
• Σειρά: Numerical Methods and Algorithms, 5
• Θέματα: Mathematics.; Integral transforms.; Operational calculus.; Applied mathematics.; Engineering mathematics.; Integral Transforms, Operational Calculus.; Appl.Mathematics/Computational Methods of Engineering.

Operational methods have been used for over a century to solve many problems—for example, ordinary and partial differential equations. In many problems it is fairly easy to obtain the Laplace transform, but it can be very demanding to determine the inverse Laplace transform that is the solution of t...

Πίνακας περιεχομένων:

• Basic Results
• Inversion Formulae and Practical Results
• The Method of Series Expansion
• Quadrature Methods
• Rational Approximation Methods
• The Method of Talbot
• Methods based on the Post-Widder Inversion Formula
• The Method of Regularization
• Survey Results
• Applications.